{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:40:18Z","timestamp":1740148818884,"version":"3.37.3"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2019,9,16]],"date-time":"2019-09-16T00:00:00Z","timestamp":1568592000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,9,16]],"date-time":"2019-09-16T00:00:00Z","timestamp":1568592000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001843","name":"Science and Engineering Research Board","doi-asserted-by":"publisher","award":["ECR\/2017\/000560"],"award-info":[{"award-number":["ECR\/2017\/000560"]}],"id":[{"id":"10.13039\/501100001843","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2020,2]]},"DOI":"10.1007\/s12190-019-01285-8","type":"journal-article","created":{"date-parts":[[2019,9,16]],"date-time":"2019-09-16T15:03:21Z","timestamp":1568646201000},"page":"301-324","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Successive iteration technique for singular nonlinear system with four-point boundary conditions"],"prefix":"10.1007","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3615-7723","authenticated-orcid":false,"given":"Amit K.","family":"Barnwal","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Priti","family":"Pathak","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,9,16]]},"reference":[{"key":"1285_CR1","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1016\/S0092-8240(81)80019-5","volume":"43","author":"N Anderson","year":"1981","unstructured":"Anderson, N., Arthurs, A.M.: Complementary extremum principles for a nonlinear model of heat conduction in the human head. Bull. Math. Biol. 43, 341\u2013346 (1981)","journal-title":"Bull. Math. Biol."},{"issue":"2","key":"1285_CR2","doi-asserted-by":"publisher","first-page":"848","DOI":"10.1016\/j.jmaa.2011.08.039","volume":"386","author":"NA Asif","year":"2012","unstructured":"Asif, N.A., Khan, R.A.: Positive solutions to singular system with four-point coupled boundary conditions. J. Math. Anal. Appl. 386(2), 848\u2013861 (2012)","journal-title":"J. Math. Anal. Appl."},{"issue":"1\u20132","key":"1285_CR3","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1007\/s12190-011-0489-9","volume":"38","author":"D Bai","year":"2012","unstructured":"Bai, D., Feng, H.: Eigenvalue for a singular second order three-point boundary value problem. J. Appl. Math. Comput. 38(1\u20132), 443\u2013452 (2012)","journal-title":"J. Appl. Math. Comput."},{"issue":"1\u20134","key":"1285_CR4","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1080\/00036819008839903","volume":"35","author":"LE Bobisud","year":"1990","unstructured":"Bobisud, L.E.: Existence of solutions for nonlinear singular boundary value problems. Appl. Anal. 35(1\u20134), 43\u201357 (1990)","journal-title":"Appl. Anal."},{"issue":"3","key":"1285_CR5","doi-asserted-by":"publisher","first-page":"591","DOI":"10.1090\/qam\/910465","volume":"45","author":"CY Chan","year":"1987","unstructured":"Chan, C.Y., Hon, Y.C.: A constructive solution for a generalized Thomas\u2013Fermi theory of ionized atoms. Q. Appl. Math. 45(3), 591\u2013599 (1987)","journal-title":"Q. Appl. Math."},{"issue":"3","key":"1285_CR6","first-page":"203","volume":"6","author":"W Feng","year":"2016","unstructured":"Feng, W., Sun, S., Qi, X.: Positive solutions to singular fractional differential equations with nonlinear boundary conditions. Int. J. Dyn. Syst. Differ. Equ. 6(3), 203\u2013218 (2016)","journal-title":"Int. J. Dyn. Syst. Differ. Equ."},{"key":"1285_CR7","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1016\/S0022-5193(75)80131-7","volume":"54","author":"U Flesch","year":"1975","unstructured":"Flesch, U.: The distribution of heat sources in the human head: a theoretical consideration. J. Theor. Biol. 54, 285\u2013287 (1975)","journal-title":"J. Theor. Biol."},{"issue":"1","key":"1285_CR8","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1016\/j.jmaa.2006.04.006","volume":"327","author":"W Jiang","year":"2007","unstructured":"Jiang, W., Guo, Y.: Multiple positive solutions for second-order m-point boundary value problems. J. Math. Anal. Appl. 327(1), 415\u2013424 (2007)","journal-title":"J. Math. Anal. Appl."},{"key":"1285_CR9","first-page":"715","volume":"5","author":"JB Keller","year":"1956","unstructured":"Keller, J.B.: Electrohydrodynamics I. The equilibrium of a charged gas in a container. J. Ration. Mech. Anal. 5, 715\u2013724 (1956)","journal-title":"J. Ration. Mech. Anal."},{"issue":"2","key":"1285_CR10","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1512\/iumj.1982.31.31020","volume":"31","author":"A Leung","year":"1982","unstructured":"Leung, A.: A semilinear reaction\u2013diffusion prey\u2013predator system with nonlinear coupled boundary conditions: equilibrium and stability. Indiana Univ. Math. J. 31(2), 223\u2013241 (1982)","journal-title":"Indiana Univ. Math. J."},{"issue":"2","key":"1285_CR11","first-page":"169","volume":"7","author":"Y Li","year":"2017","unstructured":"Li, Y., Qi, A.: Existence of positive solutions for multi-point boundary value problems of Caputo fractional differential equation. Int. J. Dyn. Syst. Differ. Equ. 7(2), 169\u2013183 (2017)","journal-title":"Int. J. Dyn. Syst. Differ. Equ."},{"issue":"4","key":"1285_CR12","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1016\/S0252-9602(17)30596-9","volume":"18","author":"Z Lin","year":"1998","unstructured":"Lin, Z., Xie, C., Wang, M.: The blow-up properties of solutions to a parabolic system with localized nonlinear reactions. Acta Math. Sci. 18(4), 413\u2013420 (1998)","journal-title":"Acta Math. Sci."},{"issue":"2","key":"1285_CR13","first-page":"511","volume":"208","author":"W Liu","year":"2009","unstructured":"Liu, W., Liu, L., Wu, Y.: Positive solutions of a singular boundary value problem for systems of second-order differential equations. Appl. Math. Comput. 208(2), 511\u2013519 (2009)","journal-title":"Appl. Math. Comput."},{"issue":"1\u20132","key":"1285_CR14","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/s12190-015-0914-6","volume":"51","author":"Y Liu","year":"2016","unstructured":"Liu, Y.: Existence and non-existence of positive solutions of four-point BVPs for ODEs on whole line. J. Appl. Math. Comput. 51(1\u20132), 425\u2013452 (2016)","journal-title":"J. Appl. Math. Comput."},{"issue":"2","key":"1285_CR15","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1006\/jmaa.1997.5515","volume":"212","author":"R Ma","year":"1997","unstructured":"Ma, R.: Existence theorems for a second order three-point boundary value problem. J. Math. Anal. Appl. 212(2), 430\u2013442 (1997)","journal-title":"J. Math. Anal. Appl."},{"key":"1285_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0893-9659(00)00102-6","volume":"14","author":"R Ma","year":"2001","unstructured":"Ma, R.: Positive solutions for second-order three-point boundary value problems. Appl. Math. Lett. 14, 1\u20135 (2001)","journal-title":"Appl. Math. Lett."},{"issue":"3","key":"1285_CR17","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1007\/s12043-011-0174-4","volume":"77","author":"B Muatjetjeja","year":"2011","unstructured":"Muatjetjeja, B., Khalique, C.M.: Exact solutions of the generalized Lane\u2013Emden equations of the first and second kind. Pramana 77(3), 545\u2013554 (2011)","journal-title":"Pramana"},{"issue":"1","key":"1285_CR18","first-page":"87","volume":"22","author":"Y Qingliu","year":"2006","unstructured":"Qingliu, Y.: Positive solutions to a semilinear system of second-order two-point boundary value problems. Ann. Differ. Equ. 22(1), 87 (2006)","journal-title":"Ann. Differ. Equ."},{"issue":"3","key":"1285_CR19","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1007\/s00521-017-3110-9","volume":"31","author":"MAZ Raja","year":"2017","unstructured":"Raja, M.A.Z., Mehmood, J., Sabir, Z., Nasab, A.K., Manzar, M.A.: Numerical solution of doubly singular nonlinear systems using neural networks-based integrated intelligent computing. Neural Comput. Appl. 31(3), 793\u2013812 (2017)","journal-title":"Neural Comput. Appl."},{"key":"1285_CR20","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1016\/j.cam.2015.10.020","volume":"296","author":"P Roul","year":"2016","unstructured":"Roul, P., Warbhe, U.: A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems. J. Comput. Appl. Math. 296, 661\u2013676 (2016)","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"1285_CR21","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1006\/jmaa.1997.5516","volume":"212","author":"JY Shin","year":"1997","unstructured":"Shin, J.Y.: A singular nonlinear differential equation arising in the Homann flow. J. Math. Anal. Appl 212(2), 443\u2013451 (1997)","journal-title":"J. Math. Anal. Appl"},{"issue":"1\u20132","key":"1285_CR22","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1007\/s12190-013-0699-4","volume":"44","author":"R Singh","year":"2014","unstructured":"Singh, R., Kumar, J.: The adomian decomposition method with Green\u2019s function for solving nonlinear singular boundary value problems. J. Appl. Math. Comput. 44(1\u20132), 397\u2013416 (2014)","journal-title":"J. Appl. Math. Comput."},{"issue":"2","key":"1285_CR23","doi-asserted-by":"publisher","first-page":"451","DOI":"10.1007\/s40314-013-0074-y","volume":"33","author":"R Singh","year":"2014","unstructured":"Singh, R., Kumar, J., Nelakanti, G.: Approximate series solution of singular boundary value problems with derivative dependence using Green\u2019s function technique. Comput. Appl. Math. 33(2), 451\u2013467 (2014)","journal-title":"Comput. Appl. Math."},{"issue":"1","key":"1285_CR24","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1016\/j.jmaa.2006.08.022","volume":"330","author":"W Sun","year":"2007","unstructured":"Sun, W., Chen, S., Zhang, Q., Wang, C.: Existence of positive solutions to n-point nonhomogeneous boundary value problem. J. Math. Anal. Appl. 330(1), 612\u2013621 (2007)","journal-title":"J. Math. Anal. Appl."},{"issue":"2","key":"1285_CR25","doi-asserted-by":"publisher","first-page":"670","DOI":"10.1007\/s10910-014-0447-5","volume":"53","author":"AK Verma","year":"2015","unstructured":"Verma, A.K., Singh, M.: Singular nonlinear three point BVPs arising in thermal explosion in a cylindrical reactor. J. Math. Chem. 53(2), 670\u2013684 (2015)","journal-title":"J. Math. Chem."},{"issue":"1","key":"1285_CR26","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1002\/mma.2776","volume":"37","author":"A-M Wazwaz","year":"2014","unstructured":"Wazwaz, A.-M., Rach, R., Duan, J.-S.: A study on the systems of the volterra integral forms of the Lane\u2013Emden equations by the Adomian decomposition method. Math. Methods Appl. Sci. 37(1), 10\u201319 (2014)","journal-title":"Math. Methods Appl. Sci."},{"key":"1285_CR27","first-page":"55","volume":"9","author":"J Wei","year":"2009","unstructured":"Wei, J., Sun, J.-P.: Positive solutions to systems of nonlinear second-order three-point boundary value problems. Appl. Math. E Notes 9, 55\u201362 (2009)","journal-title":"Appl. Math. E Notes"},{"issue":"4","key":"1285_CR28","doi-asserted-by":"publisher","first-page":"791","DOI":"10.1016\/j.na.2005.12.019","volume":"66","author":"X Xian","year":"2007","unstructured":"Xian, X.: Positive solutions for singular semi-positone three-point systems. Nonlinear Anal. Theory Methods Appl. 66(4), 791\u2013805 (2007)","journal-title":"Nonlinear Anal. Theory Methods Appl."},{"issue":"1","key":"1285_CR29","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1016\/j.cam.2008.09.019","volume":"228","author":"C Zhai","year":"2009","unstructured":"Zhai, C.: Positive solutions for semi-positone three-point boundary value problems. J. Comput. Appl. Math. 228(1), 279\u2013286 (2009)","journal-title":"J. Comput. Appl. Math."},{"issue":"1\u20132","key":"1285_CR30","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/s12190-008-0133-5","volume":"29","author":"H-E Zhang","year":"2009","unstructured":"Zhang, H.-E., Sun, J.-P.: Existence of positive solution to singular systems of second-order four-point BVPs. J. Appl. Math. Comput. 29(1\u20132), 325\u2013339 (2009)","journal-title":"J. Appl. Math. Comput."},{"issue":"2","key":"1285_CR31","doi-asserted-by":"publisher","first-page":"578","DOI":"10.1016\/j.jmaa.2005.07.014","volume":"320","author":"Y Zhou","year":"2006","unstructured":"Zhou, Y., Xu, Y.: Positive solutions of three-point boundary value problems for systems of nonlinear second order ordinary differential equations. J. Math. Anal. Appl. 320(2), 578\u2013590 (2006)","journal-title":"J. Math. Anal. Appl."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-019-01285-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12190-019-01285-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-019-01285-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,14]],"date-time":"2020-09-14T23:42:57Z","timestamp":1600126977000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12190-019-01285-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,16]]},"references-count":31,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2020,2]]}},"alternative-id":["1285"],"URL":"https:\/\/doi.org\/10.1007\/s12190-019-01285-8","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"type":"print","value":"1598-5865"},{"type":"electronic","value":"1865-2085"}],"subject":[],"published":{"date-parts":[[2019,9,16]]},"assertion":[{"value":"18 June 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 September 2019","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}